541030095648 has 288 divisors, whose sum is σ = 1959770816640. Its totient is φ = 137829703680.

The previous prime is 541030095643. The next prime is 541030095653. The reversal of 541030095648 is 846590030145.

541030095648 is a `hidden beast` number, since 54 + 1 + 0 + 30 + 0 + 9 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (541030095643) and next prime (541030095653).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (541030095643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235738 + ... + 1066598.

It is an arithmetic number, because the mean of its divisors is an integer number (6804759780).

Almost surely, 2^541030095648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541030095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979885408320).

541030095648 is an abundant number, since it is smaller than the sum of its proper divisors (1418740720992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541030095648 is a wasteful number, since it uses less digits than its factorization.

541030095648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830920 (or 830909 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 541030095648 in words is "five hundred forty-one billion, thirty million, ninety-five thousand, six hundred forty-eight".